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Finding the Fourth Proportional to 3,232.81, 4,461.16 and 1,975.97

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Solution

The fourth proportional to 3,232.81, 4,461.16 and 1,975.97 is: 2,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.81 : 4,461.16 = 1,975.97 : x
  2. Step 2: Convert to fraction form
    3,232.81/4,461.16 = 1,975.97/x
  3. Step 3: Cross multiply
    3,232.81x = 4,461.16 × 1,975.97
  4. Step 4: Simplify right side
    3,232.81x = 8,815,118.33
  5. Step 5: Solve for x
    x = 8,815,118.33/3,232.81
  6. Step 6: Final answer
    x = 2,726.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.